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Finding the Third Proportional to 110,452.50 and 238,549.50

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Solution

The third proportional to 110,452.50 and 238,549.50 is: 515,206.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,452.50 : 238,549.50 = 238,549.50 : x
  2. Step 2: Convert to fraction form
    110,452.50/238,549.50 = 238,549.50/x
  3. Step 3: Cross multiply
    110,452.50x = 238,549.50 × 238,549.50
  4. Step 4: Simplify right side
    110,452.50x = 56,905,863,950.25
  5. Step 5: Solve for x
    x = 56,905,863,950.25/110,452.50
  6. Step 6: Final answer
    x = 515,206.66

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.